Add OAuth API key support for authentication

[razifijazi]

would you add oauth API support for dyad? that would be perfect

[github-actions]

Hi! Please fill in all the fields in the issue so we can help you. A screenshot is very helpful!

Could you share more details about what you mean by OAuth API support? For example:

• Which provider(s) would you like to authenticate with?
• What's your use case?

[github-actions]

This issue might be a duplicate of existing issues. Please check:

• Support login with Claude and OpenAI accounts to use personal subscriptions (Claude Code / Codex) #1214: Requests OAuth-based login with Claude/OpenAI accounts to use personal subscriptions (confidence: medium)

Feel free to ignore if none of these address your specific case.